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8312772138 = 23111734991459
BaseRepresentation
bin1111011110111101…
…01101011000101010
3210110022221120121120
413233132231120222
5114011032202023
63452511320110
7412666253166
oct75736553052
923408846546
108312772138
113586385820
12173bb20036
13a262934a8
1458c043ca6
15339bcd8e3
hex1ef7ad62a

8312772138 has 64 divisors (see below), whose sum is σ = 18290880000. Its totient is φ = 2497728960.

The previous prime is 8312772089. The next prime is 8312772157.

8312772138 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8312772138.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5696853 + ... + 5698311.

It is an arithmetic number, because the mean of its divisors is an integer number (285795000).

Almost surely, 28312772138 is an apocalyptic number.

8312772138 is an abundant number, since it is smaller than the sum of its proper divisors (9978107862).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8312772138 is a wasteful number, since it uses less digits than its factorization.

8312772138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147.

The product of its digits is 112896, while the sum is 42.

The square root of 8312772138 is about 91174.4050597535. The cubic root of 8312772138 is about 2025.7318606892.

The spelling of 8312772138 in words is "eight billion, three hundred twelve million, seven hundred seventy-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 173 346 499 519 998 1038 1459 1497 1903 2918 2994 3806 4377 5489 5709 8754 10978 11418 16049 16467 32098 32934 48147 86327 96294 172654 252407 258981 504814 517962 728041 757221 949597 1456082 1514442 1899194 2184123 2776477 2848791 4368246 5552954 5697582 8008451 8329431 16016902 16658862 24025353 48050706 125951093 251902186 377853279 755706558 1385462023 2770924046 4156386069 8312772138